A new conjugated mapped infinite element
- Release Time:2025-04-30
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Date:
2025-04-30Title of Paper:
A new conjugated mapped infinite elementJournal:
Journal of Computational AcousticsSummary:
Taking the Astley element for example, the conventional mapped in nite element is theoretically
dissected in this paper. The study brings to light the reason why the results from the mapped
in nite elements vary with the location of the mid-side points used in the geometry mapping.
To remedy this de ciency, a new conjugated mapped in nite element is proposed whose shape
functions exactly satisfy the multi-pole expansion in the in nite direction. Within the framework
of this in nite element, shape functions for any type of wave are composed of the one in the
conventional nite element for the same order multiplied by a factor that contains the information
of the geometry mapping and the decay behavior of wave. In addition to the slight modi cation to
the phase factor and the weighting factor, the present element permits a free geometry mapping,
and therefore greatly expands the applicability of the mapped in nite element methods. To display
the performance of the proposed element, typical examples are nally given.Co-author:
L-X Li, et alVolume:
12, 4 (2004)Page Number:
543-570Translation or Not:
NoDate of Publication:
2004-01-01
